Find the probabilities: 1) P(Z > 2.01) 2) P(Z < 1.06) Using standard normal distribution
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Find the probabilities:
1) P(Z > 2.01)
2) P(Z < 1.06)
Using standard
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- The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8 cm. 1. Find the probability that an individual distance is greater than 204.30 cm. (Round to four decimal places as needed.) 2. Find the probability that the mean for 20randomly selected distances is greater than 192.80 cm. (Round to four decimal places as needed.) 3. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? A. The normal distribution can be used because the mean is large. B. The normal distribution can be used because the finite population correction factor is small. C. The normal distribution can be used because the original population has a normal distribution. Your answer is correct. D. The normal distribution can be used because the probability is less than 0.5A factory produces cylindrical metal bar. The production process can be modeled by normal distribution with mean length of 11 cm and standard deviation of 0.25 cm. (a) What is the probability that a randomly selected cylindrical metal bar has a length longer than 10.5 cm? (b) There is 14% chance that a randomly selected cylindrical metal bar has a length longer than K. is the value ofK? What (c) The production cost of a metal bar is $80 per cm plus a basic cost of $100. Find the mean, median, standard deviation, variance, and 86th percentile of the production cost of a metal bar. (d) Write a short paragraph (about 30 - 50 words) to summarize the production cost of a metal bar. summary needs to include all summary statistics found in part (c)). (The (e) In order to minimize the chance of the production cost of a metal bar to be more expensive than $1000, the senior manager decides to adjust the production process of the metal bar. and can't be changed while the standard deviation can be…Use the Central Limit Theorem to find the probability of the indicated event, assuming that the distribution of the population data is unknown. The amount of time students spend checking their phones during a lecture period has a mean of 9 minutes and standard deviation of 2 minutes. What is the probability that a sample of 30 students will spend an average of at most 9.7 minutes checking their phones during a lecture period? Standard Normal Distribution Table P( X̄ < 9.7)=__
- Suppose a simple random sample of size n= 81 is obtained from a population with u = 89 and o = 9. (a) Describe the sampling distribution of x. (b) What is P (x> 90.45) ? (c) What is P (xs86.9) ? (d) What is P (87.85 90.45) = (Round to four decimal places as needed.) (c) P (xs 86.9) = (Round to four decimal places as needed.) (d) P (87.85What is the probability of observing a standard normal random variable less than 1.5 (i.e. P(Z < 1.5) )? 0.433 0.067 1.034 0.933Suppose a simple random sample of size n= 36 is obtained from a population with u = 88 and o = 6. (a) Describe the sampling distribution of x. (b) What is P (x> 89.75) ? (c) What is P (xs85.5) ? (d) What is P (87.25 < x< 90.5) ? Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). O A. The distribution is uniform. O B. The distribution is skewed left. 'C. The distribution is approximately normal. D. The distribution is skewed right. O E. The shape of the distribution is unknown. Find the mean and standard deviation of the sampling distribution of x. o; =A production line in a factory, assembles laptops. A random sample of assembly time of 36 laptops has been drawn from this factory. Suppose, the population distribution has a mean assembly time of 25 minutes and standard deviation 6 minutes. What is the probability that a sample mean is 26 minutes? Select one: O'O E b. =P(Z>1) C. =P(Z=o) d. =P(Z<1) e. None of the others ge Next pageMotorola uses the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 10 ounces Calculate the probability of a defect and the expected number of defects for a 1000-unit production run if the process standard deviation is 0.15 and the process control is set to a plus or minus one standard deviation. Units with weights less than 9.85 or greater than 10.15 ounces will be classified as defects.A sample of size 14 will be drawn from a population with mean 100 and standard deviation 40. Is it appropriate to use the normal distribution to find probabilities for x? Yes O No XAssume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) a) Mean= 26; sd= 3.4 P(x ≥ 30) = b) Mean= 13.6; sd = 3.1 P(8 ≤ x ≤ 12) = c) Mean= 104; SD = 15 P(x ≥ 90) =A) 0.4884 Solve the problem. 10 For a standard normal distribution, find the percentage of data that are more than 2 standard deviations below the mean or more than 3 standard deviations above the mean. B) 2.41% 10) C) 97.59% D) 4.56% A) 0.26% E snowfall falling in a certain mountain range is normally distributeThe average precipitation for the 8 months of the year 13.5 inches with a standard deviation of 2,2 inches. Assume that the average precipitation is normally distributedSEE MORE QUESTIONS
